利用MATLAB 的图像处理和数值计算功能，对大气可吸入颗粒物的场发射电镜

(FESEM)图像进行处理，得到颗粒物边界的二值图像；编制MATLAB程序，统计一系列以不同

像素数量为边长的正方形块覆盖二值图像时的个数，根据像素数量和正方形块个数之间的关系，

确定图像的计盒维数。结果表明：MATLAB对分形图像的处理简单、方便，通过科赫曲线、谢宾

斯基填料等有规分形图形分形维数的计算表明该方法计算出的结果准确、可靠。对大气颗粒物的

分形维数的计算表明，不同不规则程度的颗粒物有不同的分形维数，可以通过颗粒物分形维数的

计算分析颗粒物的来源和输运过程．-The functions of MATLAB in image processing and numerical calculation were am—

ployed to process the images of atmosphere sniffable particles obtained by the field emission

scanning electron microscope (FESEM )。W ith the M ATLAB program，the binary images of

the particles border were acquired，the numbers of a series of square blocks whose lengths were

different pixel quantities to cover the binary image were counted，and the box-counting di—

mensions of these images were calculated according to the mathematics relationship of the pixel

quantities and the numbers of square blocks．The results showed that the processing of fractal

images by M ATLAB is simple and convenient，and the calculating results of fractal dimensions

tested by some fractal curves such as the Koch curve and the Sierpinski gasket are accurate and

believable The particles with different irregularities have different fractal dimensions，and the

sources and transport processes of particles can be indicated by their